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Finding the Fourth Proportional to 6,964, 10,446.54 and 2,033.62

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Solution

The fourth proportional to 6,964, 10,446.54 and 2,033.62 is: 3,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964 : 10,446.54 = 2,033.62 : x
  2. Step 2: Convert to fraction form
    6,964/10,446.54 = 2,033.62/x
  3. Step 3: Cross multiply
    6,964x = 10,446.54 × 2,033.62
  4. Step 4: Simplify right side
    6,964x = 21,244,292.67
  5. Step 5: Solve for x
    x = 21,244,292.67/6,964
  6. Step 6: Final answer
    x = 3,050.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.